Let s say you have 8 marbles and a two pan balance.
Marble scale puzzle.
A balance puzzle or weighing puzzle is a logic puzzle about balancing items often coins to determine which holds a different value by using balance scales a limited number of times.
3 you are allowed to use set the scale twice in total.
Weigh 5 against 6.
You have 12 marbles.
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Your task is to identify the unusual marble and discard it.
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You are allowed to use the scales three times if you wish but no more.
As long as you have the same number of marbles in each side the heavy marble has just enough weight to tip the scale to its side.
The 12 marbles appear to be identical.
These are not just puzzles they are a fantastic piece of kinetic art.
Should the weighing of 1 5 6 vs 2 7 8 show 1 5 6 to be the heavy side then either 5 or 6 is a different heavy marble or 2 is a light different marble.
Each marble weighs 2 0 grams except for one which is slightly heavier at 2 05 grams.
What if we just divide the 8 marbles into 2 groups of 4 each and we put 4 marbles on one pan and 4 marbles on the other.
Note that the unusual marble may be heavier or lighter than the others.
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4 each bucket has enough room for multiple marbles.
In fact 11 of them are identical and one is of a different weight.
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How would you find the heaviest marble if you are only allowed to weigh the marbles 2 times using the balance scale.
You can perform up to a maximum of three weighings to find out which marble has the different weight and if it is heavier or lighter than the others.
If they balance then 2 is a different light marble.
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But don t think this is just a kids game.
In other words you get to take 2 measurements or comparisons here.
These differ from puzzles that assign weights to items in that only the relative mass of these items is relevant.
Let s start solving this puzzle by keeping it simple.
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If they balance then 1 is the different marble.
Because if we know that the marbles on the scale weigh the same then we also know that the heaviest marble is one of the marbles not on the scale so we can.